First, it is very unsanitary to be soaked under warm water with your pet. Not only will the hairs shed inside the tub, but it may also be a cause for water contamination. Your pet's hair will surely clog the filter cartridge and, therefore, bring about an unsanitized tub. This will cause serious skin infections and rashes, as well other serious physical conditions for the bathers. Secondly, pets are not allowed near the area where the soft tub is installed. This is because bathing with pets around is unhygienic and can be bothersome.
Having your pets around when there is a tub party can ruin the ambience. Your pets will surely sniff around and worse endless bark at something that captures their eye. Your pets might not be bale to resist the temptation of grabbing any of the food in the buffet table. Really, there should be no pets allowed within the vicinity of the soft tubs.
As for the tub covers, having it is very essential to keep the tub water clean. The hazards of accumulating hair strands or fur falling from your pets may have been addressed so easily by not allowing the pets to plunge in the tub. However, the issue now is if you allow your pets to roam around where the tub is located, chances are, the pets might just walk over across the hot tub covers.
Since soft tub covers are less sturdy than the hard tub covers, there might be a possibility that your pet, or a child with the pet, might fall into the tub unnoticed by grown-ups. Dogs may be a man's best friend, but please don't let them cause any damage to the soft tub you just bought.