Fnirsis are utter garbage. Chinese scopes don't (collectively) have a good rep to begin with, but Fnirsis and their numerous re-brands are at the very bottom of that pile. Their prices are attractive (especially the tablets they sell), but they are little more than toys and have a list of problems a mile high list. Most YouTube reviews worth their salt have said their scopes are highly unreliable and largely unusable. That Fnirsi you posted doesn't look like much of a deal, anyway, especially since it seems to be only 1 channel.
Some other (handheld) scopes that have decent reviews that are worthy of mention and are all 2 channel are the Owon HDS242, Hantek 2C42 and the Hanmatek HO52. The latter which appears to be made by Owon, as well. Those are all about $100+ each.
In addition to the 2 channel Zeeweii/SigPeak I mentioned in my previous post, the brand also makes a 1 channel scope (DSO1511E), which according to reviews I've seen seems pretty competent. You lose out on not having the extra channel, but if you're on a budget it might be the ticket. Price seems to be around $60,
To answer your question, yes, any scope I mentioned should be able to catch the coil's primary voltage however you will need to invest in an appropriately sized attenuator to go along with it so that you don't exceed the scope's max voltage rating and blow it up.
There are a lot of good youtube vids that explain the process in more detail, which you may want to check out before you go hooking things up.