There are a lot of posts in this chain speculating about how the Consultant came up with the $32/hr Labor Cost. In my experience with Consultants, they are generally quite willing to answer any questions that a bidder may have as it may result in additional billing against the project if they can justify more work. Also, if you are correcting a previously unknown error on their part (yes, they DO make mistakes) you're actually doing them and everyone else a favor by pointing it out.
My advice; stop guessing how they arrived at the number and just ask!
If you disagree with their explanation and can justify a change to the numbers (you saying 'we charge more for our installation labor' is not a justification that will work for the Consultant), they'll look into it and if they agree, they will present it to the Customer/Owner and ask how they want to proceed; i.e. issue an addendum or not.
If you do not get the answer to your question before the bid closes and price your labor as you would normally (i.e. a higher hourly wage rate than what is published in the bid documents), you run the risk of being excluded from consideration because your numbers are out of whack with their estimate (... and you can be assured that the Consultant will trumpet loudly that nobody questioned the estimate during the Bid Q&A process!!).
Alternately, if nobody questions the labor estimate and all bidders offering on the project offer 'higher numbers' for labor than what the Consultant estimated/allowed for (because every Integrator charges more than $32 an hour for labor, right?), the project may go over budget and be postponed or abandoned (depending on the User) because they can't afford it any more.
By the way, if you are creative, you can usually put the labor dollars you are missing into the labor hours for other labor categories on the project that you can charge more for, or are not specifically called out in the Bid documents; e.g. CAD/Documentation Work, Project Management, lodging, etc. You may only be able to charge $32 an hour for labor, but you may be able to charge $75 for programming and commissioning, or $125 an hour for CAD and Engineering work.
If you do reach out to the Consultant, please share their response for all of those that have been guessing how they came up with $32 for this project.