It speaks to not having a variable sample rate for the LA section, I think.
I think this also speaks to selecting the right tool for the right job. IMHO the LA section of a MSO is principally there for tasks which require correlation of analogue and digital domains and the characteristics you see largely fit with that. For example, no-one has a major need for debugging signal integrity issues with rising edges in the order of 100's of ms. Other principally digital tasks such as long captures, long running protocol exchange traces and in your case slow recording speeds, are the domain of 'real' LAs. The good news is that 'real' LAs can be pretty inexpensive for low speed operation.
I coughed for the PLA2216 for my MSO5000 but I sill have and use a 'cheap' PC-based USB LA for what you describe. They are, again IMHO, different instruments with different use-cases. The LA section of the Rigol's isn't really a LA, it just provides a subset of that functionality.