Ah, just seen your post.
Yes for most Ceilidh / barn dances the caller will just ask for the kind of tune e.g. any 48 bar jig, any 32 bar reel or jig. Some have their 'own'usual tune but even if the band starts with that they often play a set of tunes (twice or 3 times each, then back to the top)
Some tunes work better than others, e.g. the Saint Bernard Waltz has a tune of the same name but any waltz with a long note at the end of bar 4 (& 16) works for the 2 stamps (after 3 chasees); I have to find out if the rest of the set also works.

Playford dances now are usually danced to there own tune but historically publishers just put a set of instructions to a popular tune of the time and called it by the name of the tune. So you get several sets of instructions for the same name (Tom Jones) and several names & tunes for the same sets of figures.
Cecil Sharp then published some of Playfords dances with tunes (also from Playford) that he thought superior (The Bishop to tune Miss Dolland's Delight).
So why shouldn't you? Maybe tell people which tune it is usually danced to.