OK I agree that free string length (and break angle) can make strings feel more or less stiff/flexible. The issue in question here though is to do with string stiffness/fexibility, not string tension which is always as per the formula. The follow is from a guitar forum but the same principle applies.
POST: "lets say i have two identical guitars except one has an original floyd rose (set to float) and the other has a tune-o-matic, which will have higher string tension?"
REPLY: "The tension for a given note on a given scale length is always the same. It MUST be, otherwise it wouldn't be the same note anymore.
What you are looking for is the term "stiffness". The longer the additional string length BEFORE the nut and AFTER the saddles - those two being the two pivot points - and the smaller the break angle, the less stiff the string will be when you try to bend it or even just press it down. But as soon as you set a whammy bridge to float, it'll have a certain "give", so when you bend or fret the string with your fretting hand, the bridge might tilt forward, detuning the rest of the strings ever so slightly. But if the trem springs are strong enough or you block the trem and your strings are locked at both ends, you successfully eliminated the pivot points, thus your Floyd equipped guitar will feel stiffer under your fretting fingers than any other non-locking guitar with the same scale length."