Good point - yes, the current source will clip by limiting the positive excursion of the plate voltage, a bit below the battery voltage. The choke will allow that voltage to rise higher.
The stock resistor load will also limit the positive voltage peak. The limit will however be earlier but softer, as the tube gets forced into the high voltage/low current ares where it becomes less linear - you will get more compression, which while distorted is softer sounding.
Very roughly speaking, driving a high impedance load of 50K or more, and with fresh batteries, the stock resistor load can in theory produce a maximum of 5vRMS. The current source will have basically the same peak output; some experimenting with R1, the current set resistor, might optimize that. The choke load can produce 7vRMS, and if you change the cathode resistor to 2K (from 1K) it should approach 9vRMS but with reduced peak current drive available. These numbers are theoretical predictions - I invite any owner with a 'scope to put them to the test and get some more data up on the forum here!