Cusser
+1y
First of all, if you didn't pull the distributor or rotate it during the process of installing the Weber, then the timing would not change. My guess is that there's a vacuum leak, and if you try to time the distributor with the vacuum line connected then it will be different every time you set or check it (I know this from experience). Did you check the Weber adapters for ABSOLUTE flatness, or sand them flat using wet/dry on a sheet of glass? And use brown goo Permatex Aviation on the gaskets, and torque them securely and evenly using blue Loctite? That's what we at MazdaTrucking.com would do. Because vacuum leaks at those surfaces are quite common. I even use rubberized sheet gasket on mine, cut my own gaskets, because I had the same issue 4 years ago when I rebuilt my engine, and had issues timing it.
So I'd say fix the vacuum leak first, then worry about the timing. Set timing at like 800 rpm with the vacuum line plugged, the advance wouldn't be kicking in at that rpm anyway. And if you actually removed your distributor, it's also possible that it's "off" a gear tooth, there's multiple ways the thing "can" go back in. So you may need to rotate the engine to TDC #1, the rotor should be at the 9 o'clock position then as you look at it.