I did a sanity check by working out the math for the conversion from the s-plane to the L(s)-plane. As shown in my original post, K = 100, tau1 = 1, tau2 = 1/10.

L(s) = K / [(tau1s + 1)(tau2s + 1)]
L(s) = 100 / [s^2/10 + s/10 + s + 1]
L(s) = 100 / [s^2/10 + s1.1 + 1]

Next, replace s = jw

L(jw) = 100 / [ (jw)^2/10 + jw1.1 + 1 ]
L(jw) = 100/ [ 1 - w^2 + jw1.1 ]

Multiply by conjugate to get rid of imaginary from the denominator:
L(jw) = 100/ [ 1 - w^2 + jw1.1 ] * [ 1 - w^2 - jw1.1 ] / [ 1 - w^2 - jw1.1

The result is:

Next, I created a Python test script to obtain the L(s)-plane values when

w = 0
w = 3.2
w = 0.76
w = 100,000

For all practical purposes, 100,000 represents infinity.

Here is the Python script used to calculate the values:

w = 0
rea = 100*(1 - (w**2)/10) / ( (1 - (w**2)/10 )**2 + 1.21*(w**2)  )
imagi = w*110 / ( (1 - (w**2)/10 )**2 + 1.21*(w**2)  )
print(f'w = {w}: R {round(rea, 1)} = {round(imagi, 1)}')

w = 0.76
rea = 100*(1 - (w**2)/10) / ( (1 - (w**2)/10 )**2 + 1.21*(w**2)  )
imagi = w*110 / ( (1 - (w**2)/10 )**2 + 1.21*(w**2)  )
print(f'w = {w}: R {round(rea, 1)} = {round(imagi, 1)}')

w = 3.2
rea = 100*(1 - (w**2)/10) / ( (1 - (w**2)/10 )**2 + 1.21*(w**2)  )
imagi = w*110 / ( (1 - (w**2)/10 )**2 + 1.21*(w**2)  )
print(f'w = {w}: R {round(rea, 1)} = {round(imagi, 1)}')

w = 100000
rea = 100*(1 - (w**2)/10) / ( (1 - (w**2)/10 )**2 + 1.21*(w**2)  )
imagi = w*110 / ( (1 - (w**2)/10 )**2 + 1.21*(w**2)  )
print(f'w = {w}: {round(rea, 1)} + j{round(imagi, 1)}')

The test results are as follows:

w = 0: 100.0 + j0.0
w = 0.76: 59.4 + j52.7
w = 3.2: -0.2 + j28.4
w = 100000: -0.0 + j0.0

The test results match the values per the screenshot.

Based on these test results, I think that there is an issue with the control library unless I can be shown that there is something that I did wrong in either with my calculations or with the test script that I provided in my original post.