You can also use dynamic pricing so that as one side gets low, the fee rate will change to encourage transactions to be routed to that side of the channel.
Sure, that's what I have been doing as well. Unfortunately, those channels remained silent as I periodically dropped the fees so I decided to make their use free of charge. One channel suddenly started routing transactions again in both directions even after I raised the fees. I will try rebalancing the other channel through a circular payment for a reasonable fee. It became unbalanced just a few hours after it was opened so I might earn back the cost of rebalancing and make some profit easily.
Thats interesting. I wonder if some people are closing channels (or not closing channels) based on fees on various routes. If there is competition offering free routes, it might not be worth it to tie up bitcoin, but once a channel is closed for likely low future fees, they might not open a new channel due to the associated initial costs of doing so (tx fees).