I don't always follow the rules, I even fail the metric some times
I try to play existing music to keep my practice «grounded». After decades of guitars, I skipped a lot of fundamentals, always pursued the wrong goals or aimed at unreachable ones, etc. I can't play all the part of a song I like. It had an impact of my ear training which by default is subpart.
I often played «things» without a backtrack, or a beat, so I may have found an interesting lick to play but it was impossible for me to reproduced as I operated by feel and ear with no consideration for keys, cadences, etc. As I stated my ear is lame, for me at least it is critical to know the context, for memorisation and ear training (another reason why I'm weary about shifting for good from the bass regular interval structure). So I say mindful but the choice of word may be poor. Sincere is any better? trying to play something I really hear or want to play. I use to noodle instead of practicing is may be an even better way to put it.
Back to the topic, I might stick to 4th. I read all the answers, there is nothing wrong with detuning the G. It makes hitting octaves up the neck harder, and ease lot of others things along the neck. For me the change feels less drastic than dropping the E string (which I do for a couple songs, sounds cool but I dislike detuning hence my failed research for a do it all tuning as a member put it, tuning is always a compromise) but I'm scare it would mess up the uniformity that helps me focusing on more musical things. The major 3rd is foremost an ergonomic consideration which helps some fingering for chords, arpeggios even some scales. The thing is those benefits may be more tempting for a jazz player which engage in not typical bass playing / solo, I'm not.
I will think some more about it, in any case, the option will always be there as detuning 1 semitone ain't rocket science and I'm familiar with that interval.
Overall I'm happy with my choice for the title, it attracted attention and I was happy to read a lively conversation and you guys insights. I don't intend to kill the topic either, just a brief update.