Sorry to be pedantic (again) but ...
Tension is affected only by three things:
(1) mass per unit length of the string,
(2) the vibrating length of the string,
(3) the pitch to which the string is tuned.
So same make strings, same gauge, same scale length, same pitch means the tension must, by definition, remain the same.
The 'feel' of the strings under the fingers is called elasticity or compliance and varies with the ways in which different makes of strings are put together (as the OP noted). Some people believe that elasticity or compliance also varies with:
(1) length of the string between the string anchor and the saddle of the bridge,
(2) length of the string between the tuning machine and the nut,
(3) the break angle of the string at the bridge and/or the nut.
Even if those latter three are true, it's very small IMO.
However , it might explain why DBE strings 'feel' different i.e. are less compliant.