Absolutely - I don't want to kick up a fuss if it turns out I can skate perfectly fine anyway. Me and my coach are going to through some tests tomorrow and see that they are fit for purpose.
I will try out your test too. Sounds like an interesting test.
I have a feeling that they will be fine. Perhaps not 100% perfect, but good enough for what I'm doing - I'm not trying to land triples so I think I'll be fine basically.
OP: You didn't say what level you're skating at. But here are a sequence of tests to check your blade mounts. If your coach can assist, all the better. Note: the proper mount on your left foot won't necessarily match the proper mount on your right foot.
* Test 1. Get up some speed and then attempt a one-foot straight glide. Raise the free foot to about ankle height alongside the skating foot and press the free boot against the skating boot. Your coach should be watching and check whether you are gliding in a straight line, or veering to the left or right. If you can glide across a patch of clean ice, you (or your coach) can check the tracings afterwards. You want to see two parallel lines like ||. The weight (thickness, width) of the two lines should be about the same. If you veer significantly, if you see only one line instead of two, or if the weight of one line is significantly different from the other, you'll likely need a blade adjustment. The one-foot straight glide test should be done for all four scenarios: left forward, left backward, right forward, and right backward.
* Test 2. Assuming you pass Test 1, you want to test out your single edges. The first stage is to try out cross-overs around a circle for all four scenarios: forward clockwise, forward counterclockwise, backward clockwise, and backward counterclockwise. Does each edge feel comfortable?
* Test 3. Assuming you pass Test 2, you can test out your single edges further, if you wish. In a straight line across the width of the rink, try all the sequences of consecutive single edges: right forward outside/left forward outside, right forward inside/left forward inside, right backward outside/left backward outside, right backward inside/left backward inside [ETA: revised for clarity]. If each sequence feels comfortable, you're all set to go. Minor tweaks may be needed later (as the boot wears in and as you try out more advanced moves).