That's why I have both an Ancestry kit and an FTDNA kit on GEDmatch. While they do match, there are significant differences as you found, that make both useful. It's clear that Ancestry and FTDNA don't just differ in which SNP's they choose to test, but in their philosophy of matching too.
It's also why I don't recommend uploading Ancestry DNA data to FTDNA. I did that at first, and had limited matching. Once I took the Family Finder test, and replaced my Ancestry uploaded data there, I had MANY more matches in the FTDNA database, which of course makes sense when you think about it. But more than that, the kits behave a little differently in GEDmatch. The FTDNA kit always finds more matching small segments, which can sometimes be useful, informative.