Always it’s possible to improve things, Lf339 was designed to provide a good performance/cost ratio. But the sound can always be improved on.
I modded my previous La figaro amp 332c by simply replacing output coupling caps. The 332c was designed to work with high impedance cans in my case with hd650, it is good sonding amp but weak in bass region. Rolling tubes do not resolve issue with the bass, it does but just slightly.The chassis was to small to put in proprer value (uF) film caps, the stock output coupling caps is 40uF but there was left room to put another caps wchich I did, doubled the capacity to 80uF had a little effect so removed the stock caps and go with 2x150uF Mundorf M-Lytic HV - electrolte bypased with 1uF M-CAP Supreme Silver & Oil. This time the improvement was huge in all regions the highs, mids and the bass went strong, dynamic and deep like newer before.
The output capacitors will have some impact on the final sound. Solen, MKP, Vishay or Mundorf MKP are good choice and you don't have to bypass them.
The stock value(capacity) is 130uF increase the capacity for example 220uF will allow extend bass response into 32 ohm headphones.If higher impedance headphones are used you can stick with smaller value of output capacitors.
You have to be careful it is a tube amplifier and there are dangerous voltages present! it will need some understanding of electronics ability to solder and use simple test equipment such as a multimeter.Remember that even when switched off there is still a high voltage. To discharge the high voltage stored in capacitors in power section you can use a 25 watt bulb with connected leads, short the circuit betwin +&- will seftly discharge the caps.