Here, we check whether it is possible to strengthen the constraints of Ref. [36] by replacing a plane plate of the torsional oscillator with a corrugated plate. The parameters of the latter are assumed to be the same as in Sec. II. We perform the calculation of the prospective constraints exactly, i.e., we do not use the PFA. The Yukawa-type force acting between a smooth sphere and a corrugated plate is given by Eq. (13). Thus, for the gradient of the Yukawa force one obtains ∂F Yu sp ( a ) ∂a = 4 π $^{2}$Gαλ$^{2}$Ψ( λ ) e − $^{a/λ}$I$_{0}$ ( A$_{1}$/λ ) . (18) The function Ψ( λ ) is defined in Eq. (5) where in the experimental configuration of Ref. [36] Δ$_{Au}$$_{,s}$ = 180 nm and Δ$_{Cr}$ = 10 nm. Then, the expression for the force gradient (18) was substituted into Eq. (17). The obtained prospective constraints are shown in Fig. 3 as the 12 retical and mean experimental pressures, P $^{theor}$( a ) − ¯ P $^{expt}$( a ), within the separation region from 180 to 746 nm. This confidence interval was determined at a 95% confidence level. The use of Eq. (16) for obtaining the constraints assumes that the PFA is applicable to calculate not only the Casimir force but the Yukawa-type force as well. This applicability was confirmed in Ref. [50], where the Yukawa-type force in the experimental configuration [36] was calculated both exactly and using the PFA with coinciding results up to a 0.1% error. Thus it was shown that the PFA leads to the results of the same level of precision when applied to the Casimir and Yukawa-type forces. However, in Ref. [51] it is claimed that to obtain correct constraints on the Yukawa-type force the latter must be calculated at least ten times more precisely than the Casimir force. This claim was demonstrated to be incorrect in Ref. [52], where the constraints were reobtained without using the PFA. Instead, the inequality was used 1 2 πR ∣ sp ( a ) ∂a ∣ ≤ Ξ$_{P}$ ( a ) , (17) where F Yu sp ( a ) is the exact Yukawa force in a sphere-plate configuration. The obtained constraints were shown to coincide with those found in Ref. [36] up to three significant figures. They are represented as the solid line in Fig. 3 (note that these constraints were already represented as short-dashed lines in Figs. 1 and 2). We emphasize that for the purpose of constraining parameters of the Yukawa-type force, it should never need to be calculated more precisely than up to 0.1% because the border of the confidence interval is determined up to only two or, at maximum, three significant figures.