Warriors coach Shaun Wane was forced to re-shuffle his side after Tomkins failed to recover from a shoulder injury sustained in last week's draw against Warrington.
"Sam's a great player but I don't want his absence to take away from the spectacle, whether we win, lose or draw," Anderson said. "It was a great game and Sam being there would have only added to it. He wasn't so you've got to give credit to the 34 blokes who were out there."
He added: "It was played tough by two very good teams. It was the sort of game we needed to make sure we actually believe in the things we are putting in place.
"It was a real arm wrestle. It wasn't pretty but who cares if you win it?
"The amount of pressure that was applied to us and our calmness under it was a credit to their belief in each other and also the conditioning. We had one play-the-ball in the last 11 sets."
When asked about Tomkins, Wane said: "He copped a knee from Adrian Morley and thought he had broken his scapula but we've had him scanned and it's just really bad bruising, muscle damage. We'll assess him as we go along but he's unlikely to play next week."
He refused to use the absence of Tomkins as an excuse for his side's first defeat of the season, adding: "Any team would miss someone like Sam but there are no excuses. We came here expecting to win and I thought we had the game plan to win.
"We played well in parts but you have to commend Huddersfield. They played well. Paul has done a great job and I'm really pleased for him, being an Englishman as well.
"I thought their defence was outstanding because we did throw a lot at them. For them to hold us out for so long was outstanding. Overall, the best team won. Their defence on the line was better than ours."