This is going to be brief as I can make it: the capacitor that comes immediately off the high voltage (B+) output of any valve rectifier is often called the capacitor input to filter cap. Different tube rectifiers have differing values of capacitance for which they are designed to be used. Exceeding that value by a considerable margin can increase the chance of possible (but not necessarily certain) rectifier failure. Of course the EZ81 can be used with a 10uf film cap. However, the lower value will also result in some reduction of plate voltage. If you adapt the circuit for the Ez81, however, there is no need to change the 47uf that's in there right now. In many such power supplies there will be a filter choke after this first capacitor, and then another capacitor after that -- the value of which can be much larger than the input filter cap. There are also power supplies that use a choke as the input to the power supply ripple filter. Which offer both better regulation as well as less concern about the value of capacitance after being damaging to the rectifier. The 47uf has and will most likely continue to work okay, but...one can't say for sure that it's longevity might be less than with something more in the range of what is listed in data sheets for the tube. I tend to play this moremon the safe side just because I have had problems with it in the past.
Allow me to say that I can completely change the internal components and overall voicing of this little amplifier. My situation is that I have done SO MUCH modifying, rebuilding, using piles of different wire for hookup, IC, and speaker, that I just have no interest in it any more -- mostly because for me the overall circuit design is paramount, and even more because the Mini Torii sounds pretty awesome as is. I have three other amplifiers I'm working on right now because they require it. What is so refreshing about the MT is that, just in my view and for my needs right now, it's always there, just as it is, and sounding splendid. Little bit of tube rolling has been neat and yeilded some changes that put it in even better company with the stuff it's used with, both music and hardware.
And Raduscha! I am glad you're enjoying the effort to make this even more your own amplifier. That's what this is about!

May I ask why you're soldering both leads of that twinaxial cable to the VC inputs? You do have the sheild connected to ground on the other end of the cable, don't you?