"But without doubt New Zealand are the best team in the world. They're back-to-back world champions. Just because we drew it doesn't make us the best.
"They've earned the right to call themselves that because they've played so well over the last 10 years," he said.
"Against anyone else we'd have been disappointed, but you can take some positives out of drawing a series with the back-to-back world champions."
Warburton said the side had been under the microscope for six to eight weeks but on reflection they were pleased with what they achieved.
"Coming into the tour not many people gave us much of a chance, the odds were against us, so to surprise a few people by drawing was good.
"It didn't surprise us because we believed we could do it," he said.
Looking to the future of Lions tours under the global season initiatives to start in 2020, he said he didn't think players would mind if games were reduced from 10 to eight.
"As long as there is a Lions tour, I'm not too fussed how it happens. From a player's point of view the Lions are massive," he said.
"However many games there are or what the preparation time is, I don't think players will be too fussed as long as they know there's an opportunity to put on the shirt in four years' time.
"Hopefully there will be a few tweaks to make it more advantageous to us. The Lions will be undefeated [in a series] for eights years by 2021 – that doesn't sound too bad," he said.