Actually, having a bigger DPS rotation can reduce the numerical difference. The reason why healer DPS differences is so vast is because the best healers can minimize unnecessary healing and allow them to press Dosis / Glare / Malefic / Broil many more times than another healer can.
The reason why having more DPS buttons reduces this numerical difference is because most of the damage will no longer be made through constantly pressing your main attack skill. It could be through a burst damage skill or a long term DoT.
Having more of these skills mean you need to press your main attack skill far less for the same amount of percentage of total damage the healer can output.
1. For example, let's take sage. Sage has both Dosis and Phlegma. In 15 GCDs, if they use Phlegma II twice and Dosis III 13 times, they have a total DPS of (600 x 2) + (330 x 13) = 5490 potency.
Say they can only have 6 GCD uptime out of the 15. As long as they use their hard hitting attacks first like Phlegma II, they can get up to (600 x 2) + (330 x 4) = 2520 potency.
2. Now say Sage actually has a second DPS skill with a potency of 600 and a DoT with a potency of 700. In the same 15 GCDs, they have a total DPS of (600 x2) + (600) + (700) + (330 x 11) = 6130 potency.
Say they can only have 6 GCD uptime out of the 15. Again, they only use the hard hitting skills first. (600 x 2) + (600) + (700) + (330 x 2) = 3160 potency.
2520 / 5490 = 45.90% maximum output
3160 / 6130 = 51.54% maximum output
As you can see from the latter example, having more DPS skills in the same GCD uptime constraints will shrink the DPS variance as a result from minimizing the amount of DPS coming from the main attack button and moving the numbers around to other DPS skills that are more readily accessible and powerful. Through adding more DPS skills, the variance of the highest DPS healer and the average healer has been reduced by 6%.
If you want to go further, assuming healer total DPS is roughly the same, the amount of DPS coming from their main attack skill will be reduced further to rebalance the total amount of potency a healer can output.
2a. While keeping all the attack skills, we readjust the potency of the main attack skill down to keep total healer DPS roughly the same. Dosis will be reduced from 330 potency to 280 potency.
In the same 15 GCDs, they have a total DPS of (600 x2) + (600) + (700) + (280 x 11) = 5580 potency.
Say they can only have 6 GCD uptime out of the 15. Again, they only use the hard hitting skills first. (600 x 2) + (600) + (700) + (280x 2) = 3060 potency.
3060 / 5580 = 54.84% maximum output.
Now the variance has been reduced by another 3%. This reduces the total DPS variance by 9%.