Dragon. A constellation of a wise dragon appears on you. When you make an Intelligence or a Wisdom check or a Constitution saving throw to maintain concentration on a spell, you can treat a roll of 9 or lower on the d20 as a 10.

Does "Intelligence or Wisdom check" here refer to any intelligence or wisdom based skill check? Or does it refer only to naked intelligence and wisdom checks that are not associated with a particular skill?

Perhaps a silly question, but I'd love some help on the matter. 

I feel like RAI it is any intelligence or wisdom based check. RAW I am not 100% certain. I feel like similar abilities meant to be applied to all checks have been worded like "when you make a check which uses X" or some similar wording. If it were my table, I would allow it for all checks using those abilities, because I feel like just asking for a flat int or wis check is super rare and really depends on the DM. 

Sounds to me like any ability check involving those abilities. Thus it encompasses related skills as well as raw rolls, just like Jack of All Trades does for Bards.

Except unlike with Jack you can have proficiency (and expertise) in the check and still get the benefit. This is real juicy if it involves all ability checks involving Int or Wis. I'm inclined to agree with this ruling because, well, that's what the ability says, but it did give me pause.

A survival check is a wisdom check. A nature check is an intelligence check. Checks out.

It's certainly quite strong potentially. I have not gotten to playtest it yet because my group keeps playing all casters and they need somebody to stand up front and protect them.

Quote from HeironymusZot >>

Dragon. A constellation of a wise dragon appears on you. When you make an Intelligence or a Wisdom check or a Constitution saving throw to maintain concentration on a spell, you can treat a roll of 9 or lower on the d20 as a 10.

Does "Intelligence or Wisdom check" here refer to any intelligence or wisdom based skill check? Or does it refer only to naked intelligence and wisdom checks that are not associated with a particular skill?

Perhaps a silly question, but I'd love some help on the matter. 

All ability checks, including skills, tools, and raw checks, like dispel magic or counterspell.  Same as bards, champions, etc.  Skill checks are a subtype of ability check.

For example, as an exercise, I recently tried to see how high I could get an Arcana check with only Uncommon or Common magic items and any race or class.  I got to here:

Star Druid in Dragon Form/Peace Cleric with Bond up/Guidance/Luckstone/Skill Expert(Arcana)/Vedalken with assisting bard - bard casts Enhance Ability (Intelligence) or just takes the Help action if allowed (Jack of All Trades means they should usually be qualified) and provides an inspiration die.

That's this:

int mod of druid = i, proficiency bonus = p

max(10,2d20 keep highest) + i + 2*p + 1 + 3d4 + bardic inspiration

For example, at level 8 (by which point the druid can have int 20 with the feat and the bard's dice come back on a short rest so they mind spending them less), that's:

max(10,2d20 keep highest) + 12 + 3d4 + 1d8

There’s no such thing as a “skill check” per se. Everything is an ability check (or an attack roll or a saving throw). If the task that the ability check represents is one that a particular proficiency (either skill or tool) applies to, then the actor gets to add their proficiency bonus to the roll (assuming they’re proficient). But it’s still an ability check. That’s why those checks in published adventures are always called out as being, for example, Wisdom (Perception) checks and not Perception checks. It’s a Wisdom check, but you get a bonus if you’re proficient in Perception.

RAW, skill checks (and even initiative) are ability checks, so it applies to skills.

Quote from SagaTympana >>

There’s no such thing as a “skill check” per se. Everything is an ability check (or an attack roll or a saving throw). If the task that the ability check represents is one that a particular proficiency (either skill or tool) applies to, then the actor gets to add their proficiency bonus to the roll (assuming they’re proficient). But it’s still an ability check. That’s why those checks in published adventures are always called out as being, for example, Wisdom (Perception) checks and not Perception checks. It’s a Wisdom check, but you get a bonus if you’re proficient in Perception.

 This. 👆

Thanks for all the helpful input everyone. My mind is clear now. I know the way.