Your speakers have ceramic midrange drivers and RAAL ribbon tweeters- extremely revealing and downright brutal with a neutral revealing amplifier. I have only heard two speakers that use ceramic drivers sound good to my ears- Marten and Von Schweikert. Nothing else including Revel sounded good- at all.
You are also coming from the ultra refined world of 300b tube amps, no wonder you are shocked.
I also suspect phase / crossover interaction between the midrange and tweeter.
I can't comment on the sound of your amplifier but do agree that many hours of run in can help it to sound better- e.g. 200-300 hours.
I do not recommend EQ because it can cause just as many issues as it fixes and is not benign to the sound quality.
Some things you can try-
1) Speaker positioning- you want to increase bass and smoothness. Be careful and deliberate moving the speakers in 1-foot increments as your room will allow.
Move them wider, closer to the wall, then farther from the wall. At each position experiment with toe angle- from aiming perpendicular to the wall to aiming at a spot a few feet in front of you.
Also experiment with stand height. Too high and you lose bass reinforcement and increase midrange / treble energy. Try lower stands that bring the tweeters 2-3 inches below ear level.
Finally try different interconnects and speaker cables- with resolving speakers like yours they matter greatly. Avoid silver plated hybrid cables and use only OCC copper.
Although it is not a synergistic match with some burn in, positioning adjustments and re-cabling you might be able to salvage your system.