I don't believe there are any throws I can do as well or at all on my left side haha.
Actually how is that with you as a seasoned judoka? Do you even bother doing throws with your other side?
Yup. It's like riding switch in snowboarding - you can get around the whole mountain without ever having to change stances, but you'll be much more comfortable and able to push your progress much more quickly.
People aren't used to getting thrown/passed to their non-dominant side, and it's almost even better against people who've been training for a while because the *fall* will feel awkward and they won't be as brave with the mid-air flippy counter shit.
Here's how I play randori against:
White Belts/3-6 months: mostly trying to get them to move/try to throw me/be anything but terrified. i usually try to catch them every 30 seconds with a footsweep or hip toss, but only so they get used to the idea that yeah, contact sport, you're getting thrown, and even then i'm catching most of the fall for them since they're squishy
Yellow/Orange Belts/6-12 Months: murder them with a few footsweeps off the bat so they know stiff-arming and looking down won't save them. still allowing ample throwing opportunities, but not falling for absolute trash (if they can get me off the ground i'll land on my back). 15 second internal throw clock, either workshopping
clean footsweeps, kata stuff, or left side throws with no 'oomph'.
Green/Brownish Belts/1-3 years: no longer 'giving' them throws, but only making half-ass evasion efforts. punishing stupid throws with counters. still working mostly clean footsweeps and left side, but also trying dumb shit that you'll/they'll be able to survive the fall for
smaller brown/black belts/3-4 years: trying to avoid being murdered by zeal. actually gripfighting. actively paying attention to step patterns and sequences. combinations and counters.
black belts my size: happy fun pajama playtime mostly trying to avoid seriously injuring one another
master's division black belts: depends on the shape they're in. if they're older i try to pay attention to what they're paying attention to. since we know each other know the setup meta and can feel each other's balance through our grips you start trying to play against their own knowledge. jedi shit. super fun. intensity depends on a combination for how physical their job is, how young their kids are, and how bouncey they seem, with appropriate adjustments for each.
asian black belts/competitive IJF players: trying not to be embarrassed by how much better they are than me. getting back up after all of the falling.