Switching "repeat" resistors in a Rebote 2.5 - do I need to switch both ends?

[sfr]

The 15K resistor in the Rebote 2.5 delay that can be swapped for a 10k to allow endless repeats/oscillation - I'd like to set it up with a toggle switch, with a 10K resistor running to the switch - flipped one way it goes from the switch back to the board, (allowing infinite repeats/oscillation) flipped the other way, it runs through a 5K resistor than back to board, making a series resistance of 15K, putting the rebote back in "normal" mode. 

My question is, should I use DPDT to switch both ends of 10K resistor, or is it okay to use SPDT switch here?  It would leave one end of the 10K resistors pad connected to the 5K resistor, but that 5K resistor wouldn't really be "going" anywhere.  Just taking a quick measurement on my breadboard, seems to indicated that the resistance across the 10k wouldn't be altered, but I'm unsure if there's anything else I should be taking into consideration. 

[DuncanM]

SPDT should work fine.