I can't argue with the above, but the fundamental issues in the crossover don't appear to have been addressed with the wholesale wiring and tweeter replacements above.
The comments below apply to the original bubble-veneer RTL3 mk1's, not the nicer looking mk2's, which had dire things done to them to make them sound more like the popular Acoustic Energy competition.....
TDL in many of their speakers over the years (and some IMF's before) "featured" a recessed midband and the RTL3 was a classic in this respect. If you look at the crossover network, there's a resistor across the bass coil (IIRC) and I think from memory that it's 15 Ohms. All but doubling this value to 25 - 30 Ohms approx lifts the midrange back to a flatter level, DRASTICALLY improves the loading on the amp (which is around 4 Ohms across the whole midband otherwise) and enables the rather exposed tweeter to be far better integrated, the small soft-dome helping with the roll-in at the crossover point (a larger dome would probably extend the tweeter down to far I think).
The electrolytic caps MUST be replaced with polyprop ones, but I wouldn't go too exotic here in all honesty, as the rest of the speaker isn't really worth it. Now, if you were talking of the "proper" TDL Studio 3's (from which the RTL4's were derived IIRC), then I'd suggest going all out for a major update/upgrade.
Hope this helps a bit. I knew the driver and basic "RTL-model" designer well and we had endless chats about these and other TDL models. The late John Wright did the "voicing" of these speakers, together with all the TDL and previous IMF models and I also understand from memory that John also designed the Goldring G800 cartridge and its derivatives way back in the late 60's..
Tear down these walls; Cut the ties that held me
Crying out at the top of my voice; Tell me now if you can hear me