A little technical background, for those interested:
Those caps are mounted that way for a reason. Tubes with high transconductance (and the 6C45 has a very high transconductance) are prone to oscillate at very high frequency, often in the hundreds of megahertz. Such oscillations can be subtle and are extremely difficult to diagnose, so several precautions are usually taken to reduce the probability of that happening. The caps, and their location, are among those precautions. The design takes as many precautions as we thought practical, balancing difficulty of construction against likelihood of a problem. It's a "suspenders and belt" approach - probably overkill but better safe than sorry.