It's very clumsy, and prone to corrupting the message index.
If you are only interested in both computers receiving all
incoming messages, that is easily accomplished.
Go to Tools, Accounts, select your mail account, Properties, Advanced,
select "Leave a copy of messages on server." Depending on how
much server space your ISP allows, you may want to select one or
both of the two associated 'remove' options.
Repeat the above on the second computer.