Those hooks are a bit tightly bent.. I can see the problem you may have. Our tack hooks are straight hooks that are easier to use. The reason your hooks are so "closed" is that it prevents the tack from falling off the hook before you can tension it back up.
One solution (since you already have the hooks) might be to modify them as you suggest, and/or have a sailmaker insert into your reef tack cringles a couple of SS rings tightly joined by webbing. That way you put the ring on the hook, you can easily do it on either tack, and the load is taken by the other ring on the opposite side of the cringle.
PM me if that's not clear, I can send you a sketch of what I mean. I've used this system before and it makes it much easier to get the tack secured.
1984 Fast/Nicholson 345 "FastForward"
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)