I don't believe that foundationless is any weaker than using wax foundation. Once you start adding support (wires) it of course strengthens it. Wired foundation is not as strong as plastic...plastic in wood frames is not as strong as solid plastic frames. It all depends on how you wish to do it and how much $/labor you are willing to invest.
I decided to start using foundationless frames during a growth period to save money and labor and it has worked well for me so far. The older the comb and the more brood that has been raised in it the tougher it gets. By this time next year I expect most if not all of my frames to be fully drawn and quite rigid.
Of course, I'm in a growth stage again :)
"In the first place, we should insist that if the immigrant who comes here in good faith becomes an American and assimilates himself to us, he shall be treated on an exact equality with everyone else, for it is an outrage to discriminate against any such man because of creed, or birthplace, or origin. But this is predicated upon the person's becoming in every facet an American, and nothing but an American...There can be no divided allegiance here. Any man who says he is an American, but something else also, isn't an American at all. We have room for but one flag, the American flag...We have room for but one language here, and that is the English language...And we have room for but one sole loyalty and that is a loyalty to the American people."
Theodore Roosevelt 1907