if your not using the bike for long periods take the battery out and store it in the warm
Actually a good and well charged battery is better stored cool than warm.
Quite true.
You have to realize that the battery produces electric power from chemical activity. Higher chemical activity erodes the internal plate structure faster, shortening its life. Another consideration is that a cooler battery makes less voltage than a warm or hot one. Battery chargers used in cold weather need to have a temperature compensation circuit, so as not to overcharge a cold battery, which can damage it. (this is often why a battery tender boils out the electrolyte faster, as it is actually overcharging it.)
Lastly, you need a tender that resets periodically. Some tenders peak charge only once, and then permanently switches to float, and then STAYS there regardless of what the battery voltage does, even if it falls to zero Volts! They need to be able to switch back to charge mode if the voltage drops too low.
So, it's not just whether you use a tender or not. It is also which tender you select for the job. There is no doubt that a properly maintained battery WILL last longer than one that is allowed to self discharge.
Cheers,