Web UI doesn't show TotalsTable when set on a table programmatically

[mofojed]

Description

When you use TotalsTableBuilder programmatically to set a TotalsTable on a table, the Web UI doesn't bother showing that totals table at all.

Steps to reproduce

1. Run the following code (Groovy)

import io.deephaven.engine.util.TotalsTableBuilder
import io.deephaven.engine.util.TotalsTableBuilder.AggType
def ttb = new TotalsTableBuilder()
source = emptyTable(100).update("X = sqrt(i)").update("Y = X * i")
builder = ttb.setFormat("Y", "Sum", "X < 5 ? BLUE : RED")
result = builder.applyToTable(source)

2. Observe table result

Expected results
2. result should include the totals, and they should be accessible through the UI

Actual results
2. result does not include the totals, and there's no way to view the totals in the configuration set programmatically. Note: We would also need to check the showTotalsByDefault on the config as well

Additional details and attachments

Context: https://illumon.slack.com/archives/CT39A21GV/p1690476128724479?thread_ts=1690468630.100259&cid=CT39A21GV

Versions

Engine Version: 0.27.0
Web UI Version: 0.44.1
Java Version: 11.0.19
Barrage Version: 0.6.0