In day-to-day use: a non spillable AGM battery is generally safe to handle when intact, but it still contains lead and acidic electrolyte internally, so it should be treated with care (avoid tipping, cracking the case, or shorting terminals).
In transport/shipping terms: batteries can be regulated as dangerous goods depending on the type and how they’re shipped. Transport Canada notes that some batteries are regulated under the TDG framework due to the hazards they can pose.
However, many “non-spillable” wet batteries that meet specific testing/requirements may be excepted from certain regulations under some carrier/transport rules (requirements vary by mode and carrier).
Best practice for customers: regardless of “non spillable” labeling, don’t throw them in the trash. Recycle automotive batteries through a proper program (like GNB’s) to keep hazardous materials out of landfill streams.