I've never heard the tyler speakers... But in general, an EL34 amp is a midrange amp. Cables and tubes are "tweaks" as far as I'm concerned, and shouldn't be relied on as tone controls. You might just be experiencing the limitation of the Jolida integrated amp, which is a midrange champ, but not a frequency extension champ. Try borrowing a Simaudio power amp (or another good SS amp) and use your Jolida as a preamp. See if this changes the tonal balance to your liking.