My current preferred method.
It is all about “release cuts”, as David Charlesworth has written in his articles over the years. Create a release cut, and waste will fall away without a fight. The deepened kerfs mean that there is no further paring needed at the sides of the sockets. Clearing the waste is a matter of splitting it out.
An optional release cut is facilitated by using the kerfing chisel. Bill, I know you have rejected this in the past, and probably never used the tool I sent you, but you need to try this ..
After sawing, deepen the kerfs ..

Undercut the baselines to create a chisel wall for each socket ...

Chisel in the chisel wall and three moderately firm hammer blows. The chisel wall prevents the chisel moving backwards and over the baseline. This means that chiselling can start at the baseline, itself, and reduces later extra paring ...

Split out the waste ...

With hard Jarrah and a decent Japanese chisel, it takes me three rows to get within 3mm (1/8”) of the web line. I stop at this point ...

Back to the Moxon Vise: the sockets are cleared by paring the remainder in 1mm slices …

Cleaning out the socket was facilitated by earlier extending the kerfs, and now with a corner chisel ...

The full article is on my website: http://www.inthewoodshop.com/Furniture/UnderbenchCabinet14.html
Regards from Perth
Derek