I don't see why it shouldn't work: I recall similar circuits using battery valves being used for 27MHz radio-controlled-models in the 1960s.
http://www.seekic.com/circuit_diagra...tron_Tube.html shows a similar circuit, as does
http://theradioboard.com/rb/viewtopic.php?t=1464
OK, the more-usual superregen has a centre-tapped coil/capacitor, but when you study the detail this isn't absolutely necessary!
[Some interesting history of supoerregen R/C receivers here:
http://www.norcim-rc.club/Radio17.htm ]