No, a parse failure is a corrupt Certbot renewal file. That test shows an intermittent comms problem trying to reach your server using HTTP. That is, webroot worked once but not a second time.
Have you reviewed your LiteSpeed Cache for Wordpress settings? Both of these sites are hosted at linode and use this same caching system. I don't know specifically how this one works but often such cache systems are the first to see the inbound request and only proxy it back to, say, Apache when the item is not in the cache. If LiteSpeed Cache was getting "stuck" that could explain your results.
Have you tried resetting your LiteSpeed Cache? Have you tried asking Linode support about this? There are several ways to setup Wordpress with them. Maybe another option would be more reliable?
As further background, your osteopathe and benedicte domains both have IPv4 and IPv6 addresses. Let's Encrypt tries IPv6 first and may try IPv4 for certain IPv6 failures. So, based on the error message it looks like it did try both and they both failed.
Oh, I now see the second command omitted --webroot.
But, this doesn't show what you think it does. It shows webroot succeeding and then webroot failing.
The renew command relies on the options in the /etc/letsencrypt/renewal/ folder config file. Any command line options override what is in there. For normal renew you should not do that and rely just on the renewal config file.
In this test, the first command explicitly set --webroot. In the second you only set the --webroot-path.
However, webroot must be the default in your renewal conf file because both tests showed the Authenticator was webroot (see summary above)
A better testing method is to do below. Of course, for standalone to work you must stop Apache first. For webroot Apache must remain running. The cron you showed stopping apache first won't work with webroot for this reason.
These are better tests so we don't have to infer what is in your renewal conf file. In a properly running system no options are needed with the renew command. It will just use the options in its conf file. The conf file is set to the options used in the last successful cert request.
It's not working when --webroot option not there but only --webroot-path you forgot
you told its not linked to the --webroot option but i'm still telling you that if you pass the command with --webroot option and --webroot-path it works, while it fails with timeout if you pass only --webroot-path
You only describe the situation that explains absolutely nothing to me, and certainly not why there's a timeout when the --webroot option is not added. Thanks for wishing me good luck, i will need it.