This is not correct. The marginal amount that you can spend with the small inputs from laxo is less then the marginal amount you would need to include as a TX fee when attempting to spend the same inputs
Enable coin control in Bitcoin Core and play around with the inputs.
As long as a transaction
1) has sufficiently large inputs or
2) has sufficiently old inputs and
3) has large enough outputs and
4) doesn't exceed 1KB in size
you can fire it off for free, even with the official client. Including this dust in such a transaction doesn't increase the fee as long as these points are met. To keep the TX speedy, you should include the standard fee, because this free TX has the risk of taking very long or not going through at all.
However, if you're paying for something and you're including the standard fee anyway, as long as the dust doesn't violate any of the points like making the TX over 1KB, it won't increase the fee and is thus essentially free.
Edit: If you follow your inputs closely, you will see they have a priority going from lowest to lower, low, low-medium etc... This seems to be a product of the input size and the input age. Also, the whole TX has its own priority, so multiple "low-medium" inputs can make for a "medium" TX. As long as a TX is "medium", it's free to send. It still needs to adhere to points 3) and 4), though.
The client is even nice enough to show in red the criteria that force a TX fee. Just play around with coin control.