5.5 lbs. are about 2.5 kg. (Since I've grown up and live in Europe I'm not so much familiar with that measuments, so I will give the info in metrical dimensions.)
From the Thomatik data sheet:
E of S42 set on 110 cm: 34 kg
E of 3886.0W set on 104-106 cm: 30 kg
Assuming a string length of 105 cm for the 3/4 Weich E tension information, I recalculated the S42 E from 110 to 105 cm and got 30.98 kg (so almost 31 kg).
So this is closer to 2.2 lbs. than 5.5 lbs. more tension for the S42 E.
I also looked into my database of string tensions that I measured myself:
3886.0W E at 105 cm: 29.5 kg (two years on my EUB before the measurement)
S42 E at 105 cm: 30 kg (more than 20 years on my acoustic DB before meas.)
S42 E at 105 cm: 29.5 kg (got that string with the EUB used, probably very old)
I was not sure about the last one being a S42 E or a 3886.0 E, but the tension is much too low for a Mittel 3/4 E. And tension on the EUB with 3886.0W is not much different from the set that I got with the EUB.
So they are quite similar, but since the OP has a used 3/4 Weich E and a new 4/4 Mittel E, the tension difference might be a bit higher than from my measurements, where the E string from the S42 set was older than the one from the 3886.0W set. Strings stretch over time and loose tension that way (because mass disappears into the peg box).
I still guess that the choked sound is just a stiff string. Play it for a year with the bow or get a used S42 E to check out.
I won't recommend a downtuned Solo string, if at all, then a 3/4 Solo F#. Tension would be about the same as tuning the E a halftone lower.
BTW, try to tune the S42 E to Eb and if it still sounds choked after a few days or a week, it is the result of the stiffness of the string you hear, not the tension/bridge/top pressure choking the bass.