The amount staked probably needs to be a % of the target account value to avoid spam.
On the perverse side OP actually wants a bit of spam because only a fraction of the escrow is awarded to the wallet on a successful response according to the paper, the rest is going somewhere, likely going into OPs accounts if I had a guess.
There's 3 sides to the optimization of the escrow percentage required for a challenge: 1) you want it high enough to discourage loads of spurious challenges, 2) account owners want it low enough to make recovery feasible without raising tons of money to dump into escrow, and 3) OP wants plenty of money flowing through the recovery contract since they're getting a cut of failed/invalid recovery attempts.