All that still has to go through the BMS, maybe if you were just feeding it directly it could be a problem.
Not charging it effectively has everything to do with the PWM not being very efficient in how it utilizes the solar energy, which is the main reason why you don't want a PWM charge controller if you can help it.
I will take the pulsating thing with a massive pinch of salt because there are plenty PWM chargers that has a lithium option.
From the Victron, as you can see, as long as the battery has a BMS you have nothing to worry about.
Buy Victron BlueSolar PWM-LCD&USB 12/24V-5A - Liquid crystal display For status monitoring and set-up Load output Over-discharge of the battery can be
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