They can be very accurate. Ive shot 1cm edge-edge with them at about 5meters. (tempest)
BUT they are VERY hold sensitive. So they require the correct hold. Otherwise, they wont group.
Weak points are: possible play on the barrel in locked position. Cán be solved by washers.
Triggers can be tuned. Grip can be improved with wooden target grip.
But it has never, nor ever will be, a target pistol like the LP53.
So you shouldnt compare them. They cant be compared.
You cán get decent resulta with the Webley pistols. Ive shot 47 ex 50 with them, bút you need practice. LOTS.
You can just change between pistols as the recoil of the Webley is the other way around vs the LP53,